Internal problem ID [3066]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 11
Problem number: 318.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (-2+x \right ) \left (x -3\right ) y^{\prime }+x^{2}-8 y+3 y x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 27
dsolve((x-2)*(x-3)*diff(y(x),x)+x^2-8*y(x)+3*x*y(x) = 0,y(x), singsol=all)
\[ y \relax (x ) = \frac {-\frac {1}{4} x^{4}+\frac {2}{3} x^{3}+c_{1}}{\left (x -3\right ) \left (x -2\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 33
DSolve[(x-2)(x-3)y'[x]+x^2-8 y[x]+3 x y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {(8-3 x) x^3-12 c_1}{12 (x-3) (x-2)^2} \\ \end{align*}